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The authors also detail the interdisciplinary needs of students and provide a basis for the construction of the core mathematics curriculum for the first two years of college that is connected to the disciplines with mathematical applications. Articles written by experts from an interdisciplinary perspective provide insight into establishing partnerships and improving core programs to serve all students.
| Foreword | vii | |
| Table of Contents | ix | |
| Glossary of Terms | xi | |
| Introduction | 1 | |
| Part 1 | Overview | 5 |
| Historical Development of Core Mathematics and Its Teaching | 7 | |
| Future Considerations | 15 | |
| Integrated Core Program | 21 | |
| Inquiry and Modeling | 25 | |
| Framework for a Two-Semester Integrated Core Program | 29 | |
| Creating an Environment for Change | 33 | |
| References | 35 | |
| Part 2 | Commentary | 39 |
| Interdisciplinary Culture Perspective | 41 | |
| The Development of a More Interdisciplinary Academic Culture | 43 | |
| Interdisciplinary Culture--a Result not a Goal | 49 | |
| Mathematics for Use Across the Curriculum: A Tool, a Language, or What? | 53 | |
| How Do We Describe an Interdisciplinary Curriculum? | 57 | |
| Technology Perspective | 65 | |
| The Machine is the Textbook | 67 | |
| Technology in Education: Minefield or Cornucopia? | 73 | |
| The Impact of Technology on Experimentation and its Implications for How and What Students Learn in Calculus | 77 | |
| Computing, Information, and Communication Technologies: Impacts on Undergraduate Mathematics | 85 | |
| Technology and Curriculum Structuring | 89 | |
| Towards a Framework for Interdisciplinarity | 97 | |
| Pedagogically Effective Use of Technology | 105 | |
| Technology in the First Two Years of Collegiate Mathematics | 111 | |
| Goals and Content Perspective | 115 | |
| Crossing the Discipline Boundaries to Improve Mathematics Education | 117 | |
| Thoughts on the Next Challenge Regarding Calculus Content | 123 | |
| Millennial Calculus Courses: Goals and Content | 127 | |
| First Two Years of Mathematics for Scientists and Engineers | 131 | |
| Goals and Content of a Two-Year Mathematics Curriculum | 137 | |
| Instructional Techniques Perspective | 141 | |
| A Continuum of Choice: Instructional Techniques in Undergraduate Mathematics | 143 | |
| Shifts in Undergraduate Education: Learner-Centered, Process-Oriented, Technology-Based | 151 | |
| Major Issues and Future Directions of Undergraduate Mathematics: Instructional Techniques in Freshman and Sophomore Math Courses | 155 | |
| Building Creativity through Mathematics, Interdisciplinary Projects, and Teaching with Technology | 161 | |
| Appendices | (Interdisciplinary Lively Application Projects--ILAPs) | 169 |
| A. | Mercury in the reservoirs: Water's OK, but don't eat the fish | 171 |
| B. | Aircraft Flight Strategies | 173 |
| C. | Analyzing the Safety of a Dam | 179 |
Overview
The authors also detail the interdisciplinary needs of students and provide a basis for the construction ...